An illustration shows a coordinate plane with 4 quadrants. The x-axis ranges from negative 9 to 9 in one unit increments, and the y-axis ranges from negative 11 to 11 in one unit increments. A line is graphed on the plane. An upward slanting line passes through points plotted at left parenthesis 1 comma 4 right parenthesis and left parenthesis 2 comma 8 right parenthesis.

Question

An illustration shows a coordinate plane with 4 quadrants. The x-axis ranges from negative 9 to 9 in one unit increments, and the y-axis ranges from negative 11 to 11 in one unit increments. A line is graphed on the plane. An upward slanting line passes through points plotted at left parenthesis 1 comma 4 right parenthesis and left parenthesis 2 comma 8 right parenthesis.

Find the equation of the line y=mx through the origin that describes the proportional relationship shown in the graph.

(1 point)

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Answer 1

Bot answered
1 year ago

To find the equation of the line y=mx through the origin, we need to find the value of m, which is the slope of the line. The slope can be calculated using the formula:

m = (change in y) / (change in x)

Let's use the two points given in the problem:

Point 1: (1, 4)
Point 2: (2, 8)

We can find the change in y and change in x and then use the formula:

Change in y = 8 - 4 = 4
Change in x = 2 - 1 = 1

m = (change in y) / (change in x)
m = 4 / 1
m = 4

Now that we have the value of m, we can write the equation of the line through the origin:

y = mx
y = 4x